Solve the Problem Consider These Players to Be a Population of Interest

question 75

Short Answer

Solve the problem.
-The weights of five players on a football team are shown below. $\begin{array}{r|rrrrr}\text { Player } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } \\\hline \text { Weight (lb) } & 315 & 205 & 275 & 270 & 230\end{array}$
Consider these players to be a population of interest. The table below shows all of the possible samples of size two. For each sample, the players in the sample, their weights, and the sample mean are listed. Use the table to find the mean of the variable $\bar { x }$ .
$\begin{array}{r|c|c}\text { Sample } & \text { Weights } & \bar{x} \\\hline \text { A, B } & 315,205 & 260 \\\text { A, C } & 315,275 & 295 \\\text { A, D } & 315,270 & 292.5 \\\text { A, E } & 315,230 & 272.5 \\\text { B, C } & 205,275 & 240 \\\text { B, D } & 205,270 & 237.5 \\\text { B, E } & 205,230 & 217.5 \\\text { C, D } & 275,270 & 272.5 \\\text { C, E } & 275,230 & 252.5 \\\text { D, E } & 270,230 & 250\end{array}$

---

Definitions:

Misallocation

Refers to an inefficient distribution of resources in a market or economy, often leading to suboptimal outcomes.

Agricultural Resources

The inputs used in the cultivation of crops and the rearing of animals for food, fibers, and other agricultural products.

World Agricultural Prices

The international prices for agricultural products, influenced by factors such as supply, demand, and political events.

Agricultural Subsidies

Financial incentives provided by the government to support farmers, ensuring agricultural stability, affecting production levels and pricing.